Exploring the Hypotenuse and Pythagorean Theorem

The video tutorial explains the concept of the hypotenuse in right triangles, emphasizing its role as the longest side. It contrasts right triangles with acute and obtuse triangles, which do not have a hypotenuse. The Pythagorean Theorem is introduced, explaining how it applies to right triangles. An example is provided, demonstrating how to calculate the hypotenuse using the theorem with a 3-4-5 triangle.

What is the longest side of a right triangle called?

• Altitude

• Base

• Median

• Hypotenuse

Which type of triangle has a hypotenuse?

• Right triangle

• Acute triangle

• Obtuse triangle

• Equilateral triangle

Tags

CCSS.4.G.A.2

Which triangles do not have a hypotenuse?

• Both acute and obtuse triangles

• Obtuse triangles

• Acute triangles

• Right triangles

Tags

CCSS.4.G.A.2

What is the angle opposite the hypotenuse in a right triangle?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

What must be the angle measure in a triangle to have a hypotenuse?

• Exactly 90 degrees

• Less than 90 degrees

• 180 degrees

• More than 90 degrees

Tags

CCSS.8.G.A.5

Who is credited with the formulation of the Pythagorean theorem?

• Pythagoras

• Aristotle

• Archimedes

• Euclid

Tags

CCSS.8.G.B.8

What is the formula stated by the Pythagorean theorem?

• b squared + c squared = a squared

• a squared = b squared + c squared

• a squared + b squared = c squared

• a squared + c squared = b squared

Tags

CCSS.8.G.B.8

What does the 'c' represent in the Pythagorean theorem formula?

• The perimeter

• The area

• The hypotenuse

• One of the legs

Tags

CCSS.8.G.B.8

In a right triangle with sides of 3 and 4 units, what is the length of the hypotenuse?

• 5 units

• 7 units

• 6 units

• 4.5 units

Tags

CCSS.8.G.B.7

If a right triangle has a hypotenuse of 5 units, which could be the possible lengths of the other two sides?

• 3 and 4 units

• 2 and 3 units

• 5 and 6 units

• 4 and 5 units

Tags

CCSS.8.G.B.8